摘要
对于传统的AHP求解方法,存在难以识别比较矩阵中的不一致判断的情况。通过构造两阶段线性规划模型,在第一阶段求出一致性求解范围,利用该一致性范围作为第二阶段的限制条件,借助于Matlab软件求出了最优的优先权矢量,并举例说明应用这个方法的计算过程。最后,通过具体实例对模型的灵敏性进行了分析,给出了不一致性判断的识别方法。
It is difficult to locate the inconsistencies among decision maker＇s judgments in the traditional AHP. Firstly a two-stage linear programming model is presented. In the first stage a linear program that provides a consistency bound for a specified pairwise comparison matrix is formulated. In the second stage the consistency bound is used for a linear program whose solution is a priority vector by means of Matlab. Secondly, a numerical example is given to illustrate the application of this approach. Lastly, the sensitivity analysis is performed on the inputs to the model in a numerical example and a technique is used to detect inconsistency.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2006年第2期237-239,共3页
Systems Engineering and Electronics
关键词
层次分析法
线性规划
灵敏性分析
analytic hierarchy process
linear programming
sensitivity analysis
